Answers
Answer:
(-1,2.5) is on the line.
(11,10) is on the line.
(70,40 is not on the line.
(-2, 1.875) is on the line.
Step-by-step explanation:
First, find the equation of the line. Two write an equation in the slope -intercept form of the line we need a slope and the y-intercept. We can find this from the 2 points given (-5,0) and (3,5). The ordered pair is written in the from (x,y) The first number is how much we move right or left from the origin (0.0) and the second number tells us how much we move up or down from the origin (0,0).
To find the slope, we find the change in y over the change in x.
[tex]\frac{(5-0)}{3 - -5)}[/tex] = [tex]\frac{5}{3+ 5}[/tex] = [tex]\frac{5}{8}[/tex] Now we can use either of the points to find the y-intercept. Let's use (3,5)
slope = [tex]\frac{5}{8}[/tex]
x = 3
y =5
y=mx + b plug in what we know
5 = [tex]\frac{5}{8}[/tex](3) + b This is the same as writing
5 = [tex]\frac{5}{8}[/tex][tex](\frac{3}{1})[/tex] 3 and [tex]\frac{3}{1}[/tex] mean the same thing
5 = [tex]\frac{15}{8}[/tex] + b Now subtract [tex]\frac{15}{8}[/tex] from both sides of the equation
[tex]\frac{5}{1}[/tex] - [tex]\frac{15}{8}[/tex] = [tex]\frac{15}{8}[/tex] - [tex]\frac{15}{8}[/tex] + b
[tex]\frac{40}{8}[/tex] - [tex]\frac{15}{8}[/tex] = b
[tex]\frac{25}{8}[/tex] = b Now we can write the equation
y = mx + b
y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{25}{8}[/tex]
N ow that we have the equation, we can plug in the (x,y) and see if the equation is true or not. If the equation is true, the point is on the line.
(-1,2.5)
y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{25}{8}[/tex]
2.5 = [tex]\frac{5}{8}[/tex](-1) + [tex]\frac{25}{8}[/tex]
2.5 = [tex]\frac{-5}{8}[/tex] + [tex]\frac{25}{8}[/tex]
2.5 = [tex]\frac{20}{8}[/tex]
2.5 = 2.5
Yes, point (-1, 2.5) is on the line.
(11,10)
y = mx + b
10 = [tex]\frac{5}{8}[/tex](11) + [tex]\frac{25}{8}[/tex]
10 = [tex]\frac{55}{8}[/tex] + [tex]\frac{25}{8}[/tex]
10 = [tex]\frac{80}{8}[/tex]
10 = 10
Yes, point (11,10) is on the line.
(70,40)
y = mx + b
40 = [tex]\frac{5}{8}[/tex](70) + [tex]\frac{25}{8}[/tex]
40 = [tex]\frac{350}{8}[/tex] + [tex]\frac{25}{8}[/tex]
40 = [tex]\frac{375}{8}[/tex]
40 ≠ 46.875
Point (70,40) is not one the line.
(-2, 1.875)
y = mx + b
1.875 = (-2)[tex]\frac{5}{8}[/tex] + [tex]\frac{25}{8}[/tex]
1.875 = [tex]\frac{-10}{8}[/tex] + [tex]\frac{25}{8}[/tex]
1.875 = [tex]\frac{15}{8}[/tex]
1.875 = 1.875
Point (-2, 1.875) is on the line.
Related Questions
The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What is the length and breadth of the pool?
Answers
P be the perimeter of the pool
L = length of the pool
B = breadth of the pool
Given
======
P = 2L + 2B = 154 m
L = 2 + 2B
P = 2(2 + 2B) + 2B ……. Substitute
154 = 4 + 4B + 2B ……. Distribution
154 = 4 + 6B ……… Add like terms
154 - 4 = 6B
150 = 6B
150/6 = 6B/6 …….. Divide both sides by 6
25 = B …. Breadth
L = 2 + 2B
L = 2 + 2(25) = 2 + 50
L = 52
Length = 52 and breadth = 25
5x^2y^3 to the power of 2
Answers
Answer:
25x^4 y^6
Step-by-step explanation:
(5x^2 y^3)^2
Use the rules of exponents to simplify the expression.
(5x^2 y^3)^2
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
5^2 (x^2 )^2 (y^3)^2
Raise 5 to the power 2.
2^5(x^2)2(y^3)^2
To raise a power to another power, multiply the exponents.
25x^2×2 y^3×2
Multiply 2 times 2.
25x^4 y^3×2
Multiply 3 times 2.
25x^4 y^6
(5x^2 y^3)^2
What is the value of this expression? 17/21 + 1/3 - 5/7 Enter your answer in the box as a fraction in simplest from
Answers
Answer:
17+7-15/21
-1/21 is your answer in simplest form
Answer: 17+7-15/21
-1/21 is your answer
Step-by-step explanation:
What is 5/2 divided by 45/2 as a percent
Answers
Answer:
11.11%
Step-by-step explain
My teacher taught me to do KFC which means Keep Change flip. You keep the first fraction, change the division sign to multiplication. Then flip the decimal on the last number. Once you do that, you can go on website to write it as a percentage.
Explanation:
Susan has 7 chores, and she can do them in any order. Use the fundamental counting principle to find the number of different ways she can complete her chores.
EXPLAIN
Answers
Explanation:
There are 7 choices for the first slot, then 6 for the second, 5 for the third, and so on until we get down to 1 choice for the last slot
7*6*5*4*3*2*1 = 5040 different ways to do those seven chores where order matters.
For more information, check out the concept of factorials.
There is any easy way to do this if there is a smaller amount of variables and it’s like this: (see picture)
Malia has $10 to spend at the fall carnival. She decides to order an ice cream cone for herself and one for her sister.
a. If the cost of each ice cream cone is $2.35, how much will she spend on the ice cream cones? Write an equation and solve.
b. How much change will Malia receive? Write an equation and solve.
Answers
Answer: She spent Four Dollars and seven cents and she gets five dollars and three cents back
Step-by-step explanation: 2.35+2.35=4.7 10-4.7=5.3
Some people advise that in freezing weather, you should keep the gas tank in your car more than half full. Irene's car had Irene 5.7 gallons in the 13-gallon tank on the coldest day of the year. filled the tank with gas that cost $3.80 per gallon. How much did Irene spend on gas?
Answers
Some of the information here isn’t needed, like that fact that it’s freezing and that the tank holds 13 gallons. If gas costs $3.80 per gallon, then 5.7 gallons would cost $27.66
PLS HELP EXAM
a) -2 = y + 5
c) –2x + 3x – 5 = 6 – 21
e) 4 – 14 = 5x
g) –42 + 20 = –2x + 13x
i) 7 = y – 2
k) –4 – 10 = 4y + 3y
m) 3y = –18
Answers
Answer:
a: y = - 7
c: x = -10
e: x = 2
g: x = -2
i: y = 9
k: y = -2
m: y = -6
Step-by-step explanation:
a: Subtract 5 on both sides
c: Add 5 on both sides then combine like terms
e: Combine like terms then divide by 5
g: Combine like terms then divide by 11
i: Add 2 on both sides
k: Combine like terms then divide by 7
m: Divide by three(won't add the number for some reason)
C: x=-10
E: x=-2
G: x=-2
I: y=9
K: y=-2
M: y=-6
(2005*40)/5
(ice melody)
Answers
Answer:
Well:
2005 times 40 = 80200
And:
80200/5 = 16040
So:
Answer is 16040!
Step-by-step explanation:
Hope it helps! =D
80,200/5= 16,040
Pls help with question 10. Pls show ur working. Thanks
Answers
explanation: Check the image i sent
hope you pass
2/3 + 1/2 (8 + 3 1/2)
Answers
Answer:
Step-by-step explanation:
we need to use pemdas
2/3+1/2(8+3 1/2)
2/3+1/2(11 1/2)
2/3+23/4
8/12+69/12
77/12
6 5/12
Hopes this help,please mark brainliest
Answer:
Step-by-step explanation: FRACTION = DECIMAL
15/32 = 0.46875 19/32 = 0.59375
21/32 = 0.65625 25/32 = 0.78125
27/32 = 0.84375 31/32 = 0.96875
What is the slope of the points that go through (2,4) and (4, 8) please help
Answers
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{4}{2}\implies \text{\LARGE 2}[/tex]
= (8-4)/(4-2)
=2
Help me, please i really need help
Answers
Explanation: count the numbers that fit into each category and then count the Xs.
A 22-m by 14-m rectangular yard is to be seeded. Each bag of seed covers 18m². How many bags of seed are need?
Answers
18 bags!!
EXPLANATION!!
You need to find out how big the backyard is first by multiplying both lengths.
22•14=308
Knowing a bag covers 18m we need to divide.
308/18=17.1111
It asks for how many bags are needed, this is a real world situation so you need to round up to the nearest whole number so you would get 18!
What do I do? I'm confused
Answers
Answer:multiply each side by 2.5
Step-by-step explanation:
Susan is taking an Algebra test on functions. Question 10 shows the following list of ordered pairs:
{(–5, 7), (–2, 1), (0, 3), (4, 7)}
Which choice should best explain why the relation IS or IS NOT a function?
Question 2 options:
a function; only one range value exists for each domain value
a function; two domain values exist for range value 7
not a function; the relation does not pass the horizontal line test when all points are graphed
not a function, two domain values exist for range value 7
Answers
Answer: 1. a function; only one rage value exists for each domain value
2. (-5, 7) , ( -2 ,1) In mathematics, a function is a relation that associates each element of a set (the domain) with a single element of another .In this case 2 elements are smaller than 0 and 2 are bigger than 0
Step-by-step explanation:
I need help please can someone help me out??
Answers
Answer:
the answer is C......................
The result of the simplified expression in this problem is given as follows:
D. 15.
How to simplify the expression?The expression for this problem is defined as follows:
2³ + 6/3 - (-10/2)
The parenthesis takes precedence, hence:
2³ + 6/3 - (-5) = 2³ + 6/3 + 5
The power takes precedence, hence:
8 + 6/3 + 5
Division has higher precedence than addition, hence:
8 + 2 + 5.
Hence the result is given as follows:
8 + 2 + 5 = 15.
More can be learned about simplification of expressions at https://brainly.com/question/723406
#SPJ1
A toy store purchases wagons from a wholesaler for $35.50. The store plans to mark up the wagons 40%. Find the selling price of the wagons.
Answers
Answer:
Markup: 66.67%
Revenue/Price: $59.17
Gross Profit: $23.67
Step-by-step explanation:
35.50+14.20=49.70$
Please answer quickly and correctly, and add the steps to solve the math equation!
Answers
Answer:
- 1/10 is the answer for A
An electric toothbrush costs $56, including a 40% price markup. What was the cost for the store to purchase the electric toothbrush?
$22.40
$30.00
$40.00
$64.80
pls hurry istg
Answers
22.40
$56 x .4 = $22.40
Need answer as soon as possible please.
Answers
Rise over run,
How many squares up until you get to the same level as the next point
That is your rise (top number)
Then count how many squares across til you are right on the point
That is your run (bottom number)
Remember that if it is going down or to the left it will be negative
do rise over run, the rise is 2 and the run is 5 therefore 2/5 but because the slope is downwards it will be minus 2/5
A regular polygon is shown, with the measure of one of its angles labeled 3x − 15.
8 sided regular polygon with one angle labeled 3 times x minus 15
Determine the value of x.
x = 40
x = 65
x = 50
x = 135
Answers
Answer:
x = 50
Step-by-step explanation:
The interior angle at each vertex of regular octagons are 135°.
3(50) - 15 = 135
For the polygon to be an 8 sided regular polygon like you said, the angle must equal 135, and so x must equal 50.
The required value of the x in the given expression is 50°.
Given that,
A regular polygon is shown, with the measure of one of its angles labeled 3x − 15.
What is a polygon?
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
For the octagon,
The angle of a vertex is 135°.
Equating the angles,
3x -15 = 135
3x = 135 + 15
3x = 150
x = 50
Thus, the required value of the x in the given expression is 50°.
Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2
Please help asap! Thanks a bunch!
Answers
Answer:
92 cubic meters
Step-by-step explanation:
23 * 8 * 0.5 = 92
This is because the Formula for finding the area of a cubic meter is Height * Width * Depth
Make x the subject of the formula
y/x= abc
Answers
Answer:
x=y/abc
Step-by-step explanation:
Let's solve for x.
y/x=abc
Step 1: Multiply both sides by x.
y=abcx
Step 2: Flip the equation.
abcx=y
Step 3: Divide both sides by abc.
abcx/abc=y/abc
x=y/abc
Answer:
x=y/abc
Step-by-step explanation:
In order to make x the subject:
Isolate the variable by: ...
Rearrange the equation so each term containing x is on the same side of the =.
Factorisation may be needed if there are multiple terms containing x . ...
Perform an operation to ensure only a single x variable is left as the subject.
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A)19
B)17
C)16
D)20
Answers
Answer:
17
Step-by-step explanation:
it occurs the most number of times
Answer:
17
Step-by-step explanation:
mode = most occuring number in a data set
Estimate 6.278 − 4.278 by rounding to the nearest whole number.
A: 2
B: 1
C: 6
D:8
Answers
6.278 - 4.278 = 2
To round 6.278 to the nearest whole number consider the tenths value of 6.278, which is 2 and less than 5. Therefore we have to round down to the whole number ones place value of 6.278, 6, remains 6
what is 1,485 with a markup of 40%
Answers
Explanation:
$10/$40 =0.25 now express it as an percentage. 25%
Answer:
Step-by-step explanation:
0.25
√9x^2 x √8x^2 please answer soon
Answers
12x^4 seems possible
Write 2^60 as a power with this base. 32
Answers
Step-by-step explanation:
Write 2^60 as an exponent with a base of: a) 8. b) 16. c) 32. the answer is : 8^20 (eight to the twentieth power). heart outlined. Thanks 2.
2^5=32 60/5=12
Paul drinks 51.15 fluid ounces of water per day. How much water does he drink in 4 days?
A. 55.15 fluid ounces
B. 204.6 fluid ounces
C. 153.45 fluid ounces
D. 255.75 fluid ounces
Answers
Answer: 204.6 fluid ounces
Step-by-step explanation:
51.15x4=204.6